To solve this problem we will proceed to use Newton's second law for which the mass (m) multiplied by the acceleration (a) is defined as the Force (F) applied on a body, mathematically that is,
[tex]F = ma[/tex]
According to the statement for the first object, the acceleration is,
[tex]a = \frac{F}{m} \rightarrow 1^{st} Object[/tex]
For the second object the acceleration is,
[tex]8a = \frac{3F}{m_2} \rightarrow 2^{nd} Object[/tex]
Solving for the mass of the second object,
[tex]m_2 = \frac{3F}{8a}[/tex]
[tex]m_2 = \frac{3F}{8(F/m)}[/tex]
[tex]m_2 = \frac{3}{8}m[/tex]
Therefore the correct answer is D.
